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41023214133400 = 23522315675691187
BaseRepresentation
bin10010101001111011101100…
…00110110010000010011000
312101020210002022211121012001
421110331312012302002120
520334111020304232100
6223125445430130344
711432554326503002
oct1124756606620230
9171223068747161
1041023214133400
11120869359a5a84
1247266a74b09b4
1319b761b0b77c5
14a1b769a31372
154b219448ed6a
hex254f761b2098

41023214133400 has 96 divisors (see below), whose sum is σ = 99589415869440. Its totient is φ = 15685819205760.

The previous prime is 41023214133353. The next prime is 41023214133401. The reversal of 41023214133400 is 433141232014.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41023214133401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4362607 + ... + 10053793.

It is an arithmetic number, because the mean of its divisors is an integer number (1037389748640).

Almost surely, 241023214133400 is an apocalyptic number.

41023214133400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41023214133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49794707934720).

41023214133400 is an abundant number, since it is smaller than the sum of its proper divisors (58566201736040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41023214133400 is a wasteful number, since it uses less digits than its factorization.

41023214133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692793 (or 5692784 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 41023214133400 its reverse (433141232014), we get a palindrome (41456355365414).

The spelling of 41023214133400 in words is "forty-one trillion, twenty-three billion, two hundred fourteen million, one hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 1567 2300 3134 4600 6268 7835 12536 15670 31340 36041 39175 62680 72082 78350 144164 156700 180205 288328 313400 360410 720820 901025 1441640 1802050 3604100 5691187 7208200 11382374 22764748 28455935 45529496 56911870 113823740 130897301 142279675 227647480 261794602 284559350 523589204 569118700 654486505 1047178408 1138237400 1308973010 2617946020 3272432525 5235892040 6544865050 8918090029 13089730100 17836180058 26179460200 35672360116 44590450145 71344720232 89180900290 178361800580 205116070667 222952250725 356723601160 410232141334 445904501450 820464282668 891809002900 1025580353335 1640928565336 1783618005800 2051160706670 4102321413340 5127901766675 8204642826680 10255803533350 20511607066700 41023214133400